In the parallel lines the value of x will be 155 or 171 and value of y will be 9 or 25.
<h3>What are parallel lines?</h3>
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions
The angles y²and 8y-15 are alternate angles.
We know that the alternate angles are equal.
So
y²=8y-15
y²-8y+15=0
y²-5y-3y+15
y(y-5)-3(y-5)
(y-3)(y-5)=0
y=3 and y=5
So when y=3, 8(3)-15
24-15=9
So when y=5, 8(5)-15=25
Hence
The sum of angles should be 180
x+(8y-15)=180
x+25=180
x=180-25
x=155
and
x+(8y-15)=180
x+9=180
x=180-9
x=171
Hence value of x will be 155 or 171 and value of y will be 9 or 25.
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